Lesson 8
198
w w w . p e t e r s o n s . c o m / a r c o
ARCO
■
SAT II Subject Tests
1. If
x = (
b + 3)
2
and
b = –4, then
x =
(A) –49
(B) –1
(C) 0
(D) 1
(E) 49
2. If
f(
x) = 4
x – 1 and 1 <
x < 3, then which of the
following defines all
and only the possible val-
ues of
f(
x)?
(A) –3 <
f(
x) < 12
(B) 3 <
f(
x) < 11
(C) 3 <
f(
x) < 12
(D) 4 <
f(
x) < 11
(E) 5 <
f(
x) < 11
3. If
then
k =
(A)
(B)
(C)
(D) 1
(E) 2
4. The average cost of 13 items in a display case
is $12. After one of the items is removed, the
average cost of the remaining 12 items is $11.
The
cost of the item removed is
(A) $1.00
(B) $11
(C) $12
(D) $13
(E) $24
5. In the figure above, what is the value of
x?
(A) 2.83
(B) 3.46
(C) 4
(D) 4.25
(E) 5
6. If
then
x
=
(A) –2.24
(B) –1.44
(C) 1.76
(D) 1.85
(E) 2.56
MATHEMATICS SUBJECT TEST, LEVEL IC
Directions: For each problem in this test, determine which is the best of the five choices given. Then
darken the corresponding oval space on the answer sheet.
Notes:
(1) Figures that accompany problems in this test are drawn as accurately as possible
EXCEPT when accompanied by the words “NOTE: Figure not drawn to scale.”
(2) Unless otherwise indicated, all figures lie in a plane.
(3) Unless otherwise specified, the domain of a function is
assumed to be the set of all
real numbers
x such that
f(
x) is a real number.
(4) A calculator is necessary for answering some — but not all — of the questions in this
test.
In each case, you must decide whether or not to use a calculator. For some items,
you will need to determine whether the calculator should be in the degree mode or
the radian mode.
Mathematics Level IC/IIC Subject Tests
199
ARCO
■
SAT II Subject Tests
w w w . p e t e r s o n s . c o m / a r c o
7. What is the length of the line segment between
the points (–2, –3) and (–4, 4)?
(A) 1.41
(B) 3.16
(C) 4.47
(D) 7.07
(E) 7.62
8. In Figure 1, if
then
RS
=
(A)
(B)
(C)
(D)
(E)
Figure 1
9. In Figure 2, which of
the following points falls
within the shaded area?
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